# Approximation Theory

## A sequence of positive linear operators associated with an approximation process

Abstract Considering a general class of discrete linear positive operators, by using a one-to-one function, we associate to the class…

## Kantorovich sequences associated to general approximation processes

Abstract Starting from a general sequence of linear positive operators of discrete type we indicate a method to associate its…

## On the uniform convergence of a q-series

Abstract The paper deals with a class of linear positive operators expressed by q-series. By using modulus of smoothness an…

## Asymptotic behaviour of Jain operators

Abstract The topic of the present paper are certain approximation operators acting on the space of continous functions on $$[0,+\infty)$$…

## On the variation detracting property of operators of Balázs and Szabados

Abstract In this note we spotlight the linear and positive operators of discrete type $$(R_{n})_{n\geq1}$$ known as Balazs–Szabados operators. We…

## Kantorovich-type operators preserving affine functions

Abstract Starting from positive linear operators which have the capability to reproduce affine functions, we design integral operators of Kantorovichtype…

## Statistical convergence applied to Korovkin-type approximation theory

Abstract We present two general sequences of positive linear operators. The first is introduced by using a class of dependent…

## On two classes of approximation processes of integral type

Abstract The paper aims to study two classes of linear positive operators representing modifications of Picard and Gauss operators. The…

## A complete asymptotic expansion for the quasi-interpolants of Gauss–Weierstrass operators

Abstract We derive the complete asymptotic expansion for the quasiinterpolants of Gauss Weierstrass operators $$W_{n}$$ and their left quasi interpolants…

## Approximation with arbitrary order by certain linear positive operators

Abstract This paper aims to highlight classes of linear positive operators of discrete and integral type for which the rates…